7 citations · 23 across the 10 of their papers we have counts for
11 papers
New Extremal Binary Self-Dual Codes of Length 72 from - Group Matrix Rings by a Hybrid Search Technique Based on a Neighbourhood-Virus Optimisation Algorithm
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, a new search technique based on the virus optimisation algorithm is proposed for calculating the neighbours of binary self-dual codes. The aim of this new technique…
Reversible -Codes with Applications to DNA Codes
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible -co…
An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, a virus optimization algorithm, which is one of the metaheuristic optimization technique, is employed for the first time to the problem of finding extremal binary se…
New Singly and Doubly Even Binary [72,36,12] Self-Dual Codes from -- Group Matrix Rings
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this work, we present a number of generator matrices of the form where is the identity matrix, is an element in the group ma…
Group Matrix Ring Codes and Constructions of Self-Dual Codes
Steven Dougherty, Adrian Korban, Serap Sahinkaya +1
In this work, we study codes generated by elements that come from group matrix rings. We present a matrix construction which we use to generate codes in two different ambient space…
New Type I Binary [72, 36, 12] Self-Dual Codes from Composite Matrices and R1 Lifts
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this work, we define three composite matrices derived from group rings. We employ these composite matrices to create generator matrices of the form [In | Ω(v)], where In is the…
A Novel Genetic Search Scheme Based on Nature -- Inspired Evolutionary Algorithms for Self-Dual Codes
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, a genetic algorithm, one of the evolutionary algorithms optimization methods, is used for the first time for the problem of finding extremal binary self-dual codes.…
On graded nil clean rings
Emil Ilić-Georgijević, Serap Şahinkaya
In this paper we introduce and study the notion of a graded (strongly) nil clean ring which is group graded. We also deal with extensions of graded (strongly) nil clean rings to gr…
Generalized injectivity and approximations
Serap Sahinkaya, Jan Trlifaj
Injective, pure-injective and fp-injective modules are well known to provide for approximations in the category Mod-R for an arbitrary ring R. We prove that this fails for many oth…
New Characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture
Pedro A. Guil Asensio, Serap Sahinkaya, Ashish K. Srivastava
We provide new characterizations of pseudo-Frobenius and quasi-Frobenius rings in terms of tight modules. In the process, we also provide fresh perspectives on FGF and CF conjectur…
Colocalization and cotilting for commutative noetherian rings
Jan Trlifaj, Serap Sahinkaya
For a commutative noetherian ring R, we investigate relations between tilting and cotilting modules in Mod-R and Mod-R_m where m runs over the maximal spectrum of R. For each finit…